UNSOLVED PROBLEMS

In Number Theory, Logic, and Cryptography

Magic Square of Squares

 

A square is magic if each of the rows, columns, and diagonals add up to the same total.  So, for example, the square

 

 

 

is magic, since every row, column, and diagonal adds up to 4035.  Of the nine entries, five (49, 169, 289, 1225, and 2401) are perfect squares.

The problem is to find a 3 by 3 magic square all of whose entries are distinct perfect squares, or prove that such a square cannot exist.

 

For further information, please see:

[1]  http://www.multimagie.com/indexengl.htm

[2] http://www.rose-hulman.edu/mathjournal/archives/2003/vol4-n1/paper3/v4n1-3pd.pdf

[3] http://mathpages.com/home/kmath417.htm

 

There are currently 0 proposed solutions on the solutions page.

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Email: timro21@gmail.com

 

 

2521

49

1465

289

1345

2401

1225

2641

169